Search a number
-
+
5367242496 = 283711237223
BaseRepresentation
bin1001111111110100…
…11001111100000000
3111212001102011120010
410333322121330000
541443003224441
62244330344520
7250001544210
oct47772317400
914761364503
105367242496
112304739800
12105958b140
13676c71045
1438cb7a240
152162e9116
hex13fe99f00

5367242496 has 432 divisors, whose sum is σ = 18512033792. Its totient is φ = 1350328320.

The previous prime is 5367242471. The next prime is 5367242497. The reversal of 5367242496 is 6942427635.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5367242497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24068241 + ... + 24068463.

Almost surely, 25367242496 is an apocalyptic number.

5367242496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5367242496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9256016896).

5367242496 is an abundant number, since it is smaller than the sum of its proper divisors (13144791296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5367242496 is a wasteful number, since it uses less digits than its factorization.

5367242496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 283 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 48.

The square root of 5367242496 is about 73261.4666519856. The cubic root of 5367242496 is about 1750.8559074113.

The spelling of 5367242496 in words is "five billion, three hundred sixty-seven million, two hundred forty-two thousand, four hundred ninety-six".